The exploration of the "Golden Ratio" is one that attempts to underscore how mathematical analysis can provide a great deal of insight into domains that are not simply mathematical. The "Golden Ratio" is something that can be found in classical architecture. The set up of specific geometric designs helps to enhance this. If rectangles are constructed with the manner of Fibonacci Numbers, Such a rectangle is called a "golden rectangle," and successive points dividing a it into squares like on a logarithmic spiral, rendering a figure known as a whirling square. Using numbers from the Fibonacci Sequence that are in sequence can also help to establish this. An example would be to divide 21 and 13. The notion of being able to establish this golden ratio in nature helps to create figures that are aesthetically pleasing. The Giza Pyramids, as well as the "Mona Lisa" and other elements in nature, including ratios of lengths in the human body, help to illuminate the Golden Ratio, in action. While some have claimed Islam to feature some elements of the Golden Ratio, other religions like Judaism have made the same claim.

The universal ratio, also called golden ratio is the ratio between any two quantities a and b such that:

(a + b)/a = b/a = Golden ratio

The only positive real number that meets the above condition is:

[1 + (5)^1/2]/2 = 1.6180339887 (approximately)

The Golden ratio is often denoted by Greek letter 'phi'.

For many centuries artists and architects have proportioned their works to approximate the golden ratio, believing it to be aesthetically pleasing.

Mathematicians have studied the golden proportion for its many interesting mathematical properties. This ratio or approximation of this ration appears in many natural objects also. Because of this the golden ratio has been studied also by biologists, musicians, historians, and psychologists.

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